5905171272 has 512 divisors, whose sum is σ = 22121164800. Its totient is φ = 1260748800.

The previous prime is 5905171267. The next prime is 5905171273. The reversal of 5905171272 is 2721715095.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5905171272.

It is not an unprimeable number, because it can be changed into a prime (5905171273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7759372 + ... + 7760132.

It is an arithmetic number, because the mean of its divisors is an integer number (43205400).

Almost surely, 2^5905171272 is an apocalyptic number.

5905171272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5905171272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060582400).

5905171272 is an abundant number, since it is smaller than the sum of its proper divisors (16215993528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5905171272 is a wasteful number, since it uses less digits than its factorization.

5905171272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The square root of 5905171272 is about 76845.1122193208. The cubic root of 5905171272 is about 1807.4966432640.

The spelling of 5905171272 in words is "five billion, nine hundred five million, one hundred seventy-one thousand, two hundred seventy-two".